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105244351232 = 283116779411
BaseRepresentation
bin110001000000100001…
…1010101101100000000
3101001122122210222200112
41202001003111230000
53211020023214412
6120203143410452
710414024140146
oct1420103255400
9331578728615
10105244351232
11406a7768879
1218492153a28
139c03183857
14514576b596
152b0e85b722
hex18810d5b00

105244351232 has 72 divisors (see below), whose sum is σ = 218155564032. Its totient is φ = 50619110400.

The previous prime is 105244351231. The next prime is 105244351241. The reversal of 105244351232 is 232153442501.

It is a super-2 number, since 2×1052443512322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105244351231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285607 + ... + 1365017.

Almost surely, 2105244351232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105244351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109077782016).

105244351232 is an abundant number, since it is smaller than the sum of its proper divisors (112911212800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105244351232 is an equidigital number, since it uses as much as digits as its factorization.

105244351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79625 (or 79611 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 105244351232 its reverse (232153442501), we get a palindrome (337397793733).

The spelling of 105244351232 in words is "one hundred five billion, two hundred forty-four million, three hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 256 334 496 668 992 1336 1984 2672 3968 5177 5344 7936 10354 10688 20708 21376 41416 42752 79411 82832 158822 165664 317644 331328 635288 662656 1270576 1325312 2461741 2541152 4923482 5082304 9846964 10164608 13261637 19693928 20329216 26523274 39387856 53046548 78775712 106093096 157551424 212186192 315102848 411110747 424372384 630205696 822221494 848744768 1644442988 1697489536 3288885976 3394979072 6577771952 13155543904 26311087808 52622175616 105244351232